463048541328 has 80 divisors (see below), whose sum is σ = 1226996110080. Its totient is φ = 150405639168.

The previous prime is 463048541297. The next prime is 463048541357. The reversal of 463048541328 is 823145840364.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68476 + ... + 964772.

It is an arithmetic number, because the mean of its divisors is an integer number (15337451376).

Almost surely, 2^463048541328 is an apocalyptic number.

463048541328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463048541328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613498055040).

463048541328 is an abundant number, since it is smaller than the sum of its proper divisors (763947568752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

463048541328 is a wasteful number, since it uses less digits than its factorization.

463048541328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896584 (or 896578 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 463048541328 in words is "four hundred sixty-three billion, forty-eight million, five hundred forty-one thousand, three hundred twenty-eight".